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Finding the Fourth Proportional to 356,696.88, 492,257.22 and 213,429.48

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Solution

The fourth proportional to 356,696.88, 492,257.22 and 213,429.48 is: 294,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,696.88 : 492,257.22 = 213,429.48 : x
  2. Step 2: Convert to fraction form
    356,696.88/492,257.22 = 213,429.48/x
  3. Step 3: Cross multiply
    356,696.88x = 492,257.22 × 213,429.48
  4. Step 4: Simplify right side
    356,696.88x = 105,062,202,490.85
  5. Step 5: Solve for x
    x = 105,062,202,490.85/356,696.88
  6. Step 6: Final answer
    x = 294,541.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.